2452320 has 144 divisors (see below), whose sum is σ = 9081072. Its totient is φ = 599040.

The previous prime is 2452313. The next prime is 2452321. The reversal of 2452320 is 232542.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2452293 and 2452302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18655 + ... + 18785.

It is an arithmetic number, because the mean of its divisors is an integer number (63063).

2^2452320 is an apocalyptic number.

2452320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540536).

2452320 is an abundant number, since it is smaller than the sum of its proper divisors (6628752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2452320 is a wasteful number, since it uses less digits than its factorization.

2452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2452320 is about 1565.9885057049. The cubic root of 2452320 is about 134.8525138286.

Adding to 2452320 its reverse (232542), we get a palindrome (2684862).

It can be divided in two parts, 2452 and 320, that added together give a palindrome (2772).

The spelling of 2452320 in words is "two million, four hundred fifty-two thousand, three hundred twenty".